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Rectangle is 10 1/3 by 10 and 1/4 what is the area

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Answer:

Area = 105 11/12

Step-by-step explanation:

First, we need to convert the mixed numbers into fractions using the following equation:


A(b)/(c)=((A* c)+b)/(c)

So, 10 1/3 and 10 1/4 are equivalent to:


\begin{gathered} 10(1)/(3)=((10*3)+1)/(3)=(31)/(3) \\ 10(1)/(4)=((10*4)+1)/(4)=(41)/(4) \end{gathered}

Then, the area of a rectangle can be calculated as:

Area = Length x Width

So, the area of a rectangle of 31/3 by 41/4 is:


\text{Area = }(31)/(3)*(41)/(4)=(31*41)/(3*4)=(1271)/(12)

Finally, 1272/12 as a mixed number is


(1271)/(12)=105(11)/(12)

Therefore, the area is 105 11/12

User Cosmin Lehene
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